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Seminar

FIELD

Math:Geometry

DATE

October 13 (Fri), 2017

TIME

16:00-17:30

PLACE

8101

SPEAKER

Goller, Thomas

HOST

Kim, Bumsig

INSTITUTE

KIAS

TITLE

Quot Schemes on Curves and wTQFT

ABSTRACT

I will introduce a weighted topological quantum field theory (wTQFT) that assembles information about Quot schemes of general vector bundles on algebraic curves. This wTQFT can be explicitly described using the quantum cohomology of the Grassmannian. Moreover, it can be used to compute the numbers of points of zero-dimensional Quot schemes, yielding the Verlinde numbers. I will explain how the use of general vector bundles ensures that the Quot schemes have the expected dimension and a well-behaved intersection theory, which are important in the definition of the wTQFT.